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王立联教授学术报告
发布时间:2018-06-29   浏览次数:  

报告题目:Laguerre functions and their applications to tempered fractional differential equations on infinite intervals

报告时间:201863014:00-15:00

报告地点:理学院120

: 王立联新加坡南洋理工大学教授,主要从事数值分析和科学计算方面研究工作

报告摘要:Tempered fractional diffusion equations (TFDEs) involving tempered fractional derivatives on the whole space were first introduced in Sabzikar et al. (J Comput Phys 293:14–28, 2015), but only the finite-difference approximation to a truncated problem on a finite interval was proposed therein. In this paper, we rigorously show the well-posedness of the models in Sabzikar et al. (2015), and tackle them directly in infinite domains by using generalized Laguerre functions (GLFs) as basis functions. We define a family of GLFs and derive some useful formulas of tempered fractional integrals/derivatives. Moreover, we establish the related GLF-approximation results. In addition, we provide ample numerical evidences to demonstrate the efficiency and “tempered” effect of the underlying solutions of TFDEs.



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